Answered: We use the t distribution to construct…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

We use the t distribution to construct a confidence interval for the population mean when the underlying population standard deviation is not known. Under the assumption that the population is normally distributed, find t_α_/2,dffor the following scenarios. (You may find it useful to reference the t table. Round your answers to 3 decimal places.)

		t_α_/2,df
a.	A 95% confidence level and a sample of 8 observations.
b.	A 90% confidence level and a sample of 8 observations.
c.	A 95% confidence level and a sample of 28 observations.
d.	A 90% confidence level and a sample of 28 observations.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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